What is the simplified form of:

You own a share of a stock worth $400 . It decreases 5% .how much is it worth now?

Alchen [17]

Answer:

380$

Step-by-step explanation:

Multiply 400*5%=20

Then subtract 400-20=380

3 0

3 years ago

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What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2 (3, 1) (1, 3) (3, −1) (−1, 3)

ohaa [14]

Y - 4x = 7...y = 4x + 7
now sub 4x + 7 in for y in the other equation
2y + 4x = 2
2(4x + 7) + 4x = 2
8x + 14 + 4x = 2
12x = 2 - 14
12x = - 12
x = -1

y - 4x = 7
y - 4(-1) = 7
y + 4 = 7
y = 7 - 4
y = 3

solution is : (-1,3)

7 0

4 years ago

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An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a m

disa [49]

Answer:

a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb

b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.

This means that $\mu = 160, \sigma = 35$

Sample of 10:

This means that $n = 10, s = \frac{35}{\sqrt{10}} = 11.07$

a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.

This is 1 subtracted by the pvalue of Z when X = 158. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{158 - 160}{11.07}$

$Z = -0.18$

$Z = -0.18$ has a pvalue of 0.4286

1 - 0.4286 = 0.5714

0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.

b.) Does this elevator appear to be safe?

No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

8 0

3 years ago

Arrange the complex numbers in order according to the quadrant in which they appear, starting with the first quadrant. 3 − 4i -1

chubhunter [2.5K]

A+bi is the form of a complex number. a is on the x axis, bi is on the y axis:
3-4i ( x positive, y negative) Q4
-1-3i (both x, y negative) Q3
4+i ( both x, y positive) Q1
-2+2i (x neg, y pos) Q3

6 0

3 years ago

11. The exponential function given by H(t)=80,030.83(1.0481)t, where t is the number of years after 2010, can be used to pr

telo118 [61]

A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The exponential function that can be used to project the number of centenarians in a certain country is $H(t) = 80,030.83(1.0481)^t$ .

Now, the number of centenarians in the country in 2013 is,

$H(t) = 80,030.83(1.0481)^t\\\\H(2013) = 80,030.83(1.0481)^{2013}\\\\H(2013) = 9.4175 \times 10^{45}$

Also, the number of centenarians in the country in 2038 is,

$H(t) = 80,030.83(1.0481)^t\\\\H(2038) = 80,030.83(1.0481)^{2038}\\\\H(2038) = 3.048 \times 10^{46}$

Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.

Learn more about Function:

brainly.com/question/5245372

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5 0

3 years ago